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- W4251111478 abstract "A periodic lattice in bb En is associated with an n-grid and its dual, and with a point symmetry group G. Given a subgroup H of G, a subspace bb Em, m < n, of bb En, invariant under H, is chosen and a projection of the n-grid from bb En to bb Em is defined. The translational and point symmetries of the projected n-grid are analyzed. A projection of the cubic n-grid from bb En to bb En-1 based on H = S(n) yields a periodic n-grid. A projection of the cubic 12-grid from bb E12 to bb E3 based on H = A(5) yields a non-periodic 12-grid. This 12- grid is characterized by three real numbers and from its projection has a well defined orientation. The dual to this 12-grid yields a generalization of the non-periodic Penrose patterns from two to three dimensions." @default.
- W4251111478 created "2022-05-12" @default.
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- W4251111478 date "1984-09-01" @default.
- W4251111478 modified "2023-10-15" @default.
- W4251111478 title "On periodic and non-periodic space fillings of<b>E</b><sup><i>m</i></sup>obtained by projection" @default.
- W4251111478 doi "https://doi.org/10.1107/s0108767384001203" @default.
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